Chapter 12, Problem 45E

An electron is excited from the ground state to the $n=3$ state in a hydrogen atom. Which of the following statementsare true? Correct any false statements.
a. It takes more energy to ionize (remove) the electronfrom $n=3$ than from the ground state.
b. The electron is farther from the nucleus on averagein the $n=3$ state than in the ground state.
c. The wavelength of light emitted if the electron dropsfrom $n=3$ to $n=2$ is shorter than the wavelengthof light emitted if the electron falls from $n=3$ to $n=1$ .
d. The wavelength of light emitted when the electronreturns to the ground state from $n=3$ is the sameas the wavelength of light absorbed to go from $n=1$ to $n=3$ .
e. The first excited state corresponds to $n=3$ .